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120213210101100 = 22352494518103187
BaseRepresentation
bin11011010101010101010001…
…101011110111010101101100
3120202122021022022012101102120
4123111111101223313111230
5111224033123241213400
61103401104125152540
734215055261143354
oct3325252153672554
9522567268171376
10120213210101100
1135338155171936
12115961609bb750
1352100985006cc
1421984c976bb64
15dd704c6cdca0
hex6d5551af756c

120213210101100 has 72 divisors (see below), whose sum is σ = 347823964383168. Its totient is φ = 32056203816000.

The previous prime is 120213210101099. The next prime is 120213210101143. The reversal of 120213210101100 is 1101012312021.

It is a super-2 number, since 2×1202132101011002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 120213210101100.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10783707 + ... + 18886893.

Almost surely, 2120213210101100 is an apocalyptic number.

120213210101100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120213210101100 is an abundant number, since it is smaller than the sum of its proper divisors (227610754282068).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

120213210101100 is a wasteful number, since it uses less digits than its factorization.

120213210101100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8152655 (or 8152648 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 15.

Adding to 120213210101100 its reverse (1101012312021), we get a palindrome (121314222413121).

The spelling of 120213210101100 in words is "one hundred twenty trillion, two hundred thirteen billion, two hundred ten million, one hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 49451 98902 148353 197804 247255 296706 494510 593412 741765 989020 1236275 1483530 2472550 2967060 3708825 4945100 7417650 8103187 14835300 16206374 24309561 32412748 40515935 48619122 81031870 97238244 121547805 162063740 202579675 243095610 405159350 486191220 607739025 810318700 1215478050 2430956100 400710700337 801421400674 1202132101011 1602842801348 2003553501685 2404264202022 4007107003370 4808528404044 6010660505055 8014214006740 10017767508425 12021321010110 20035535016850 24042642020220 30053302525275 40071070033700 60106605050550 120213210101100